Jiwei Zhang

Affiliations:
  • Wuhan University, School of Mathematics and Statistics, China
  • Beijing Computational Science Research Center, Beijing, China
  • New York University, Courant Institute of Mathematical Sciences, NY, USA
  • Hong Kong Baptist University, Kowloon, Hong Kong (PhD 2009)


According to our database1, Jiwei Zhang authored at least 35 papers between 2008 and 2022.

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Bibliography

2022
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations.
CoRR, 2022

2021
A Linearized Compact ADI Scheme for Semilinear Parabolic Problems with Distributed Delay.
J. Sci. Comput., 2021

A CG-DG method for Maxwell's equations in Cole-Cole dispersive media.
J. Comput. Appl. Math., 2021

Sharp H1-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems.
J. Comput. Appl. Math., 2021

Sharp pointwise-in-time error estimate of L1 scheme for nonlinear subdiffusion equations.
CoRR, 2021

Frequency Principle in Deep Learning Beyond Gradient-descent-based Training.
CoRR, 2021

2020
Stability and Error Analysis for a Second-Order Fast Approximation of the Local and Nonlocal Diffusion Equations on the Real Line.
SIAM J. Numer. Anal., 2020

Dimensional reduction of emergent spatiotemporal cortical dynamics via a maximum entropy moment closure.
PLoS Comput. Biol., 2020

Unified gas-kinetic wave-particle methods III: Multiscale photon transport.
J. Comput. Phys., 2020

Implicit bias with Ritz-Galerkin method in understanding deep learning for solving PDEs.
CoRR, 2020

2019
A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems.
SIAM J. Numer. Anal., 2019

Unconditional Convergence of a Fast Two-Level Linearized Algorithm for Semilinear Subdiffusion Equations.
J. Sci. Comput., 2019

A coarse-graining framework for spiking neuronal networks: from strongly-coupled conductance-based integrate-and-fire neurons to augmented systems of ODEs.
J. Comput. Neurosci., 2019

Numerical blow-up analysis of linearly implicit Euler method for nonlinear parabolic integro-differential equations.
J. Comput. Appl. Math., 2019

A finite element method for space-time directional fractional diffusion partial differential equations in the plane and its error analysis.
J. Comput. Appl. Math., 2019

2018
Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions.
SIAM J. Sci. Comput., 2018

Numerical Solution of a Two-Dimensional Nonlocal Wave Equation on Unbounded Domains.
SIAM J. Sci. Comput., 2018

Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations.
SIAM J. Numer. Anal., 2018

An Efficient Second-Order Finite Difference Method for the One-Dimensional Schrödinger Equation with Absorbing Boundary Conditions.
SIAM J. Numer. Anal., 2018

Unconditionally Optimal Error Estimates of a Linearized Galerkin Method for Nonlinear Time Fractional Reaction-Subdiffusion Equations.
J. Sci. Comput., 2018

Frozen Gaussian Approximation-Based Artificial Boundary Conditions for One-Dimensional Nonlinear Schrödinger Equation in the Semiclassical Regime.
J. Sci. Comput., 2018

A hybridizable discontinuous Galerkin method for elliptic interface problems in the formulation of boundary integral equations.
J. Comput. Appl. Math., 2018

2017
Numerical Solution of the Nonlocal Diffusion Equation on the Real Line.
SIAM J. Sci. Comput., 2017

Unconditionally Convergent L1-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations.
SIAM J. Sci. Comput., 2017

Superconvergence of Finite Element Approximations for the Fractional Diffusion-Wave Equation.
J. Sci. Comput., 2017

2016
Numerical Blow-Up of Nonlinear Parabolic Integro-Differential Equations on Unbounded Domain.
J. Sci. Comput., 2016

Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain.
J. Comput. Phys., 2016

2015
A reduction for spiking integrate-and-fire network dynamics ranging from homogeneity to synchrony.
J. Comput. Neurosci., 2015

2014
A coarse-grained framework for spiking neuronal networks: between homogeneity and synchrony.
J. Comput. Neurosci., 2014

Distribution of correlated spiking events in a population-based approach for Integrate-and-Fire networks.
J. Comput. Neurosci., 2014

Local artificial boundary conditions for Schrödinger and heat equations by using high-order azimuth derivatives on circular artificial boundary.
Comput. Phys. Commun., 2014

2012
A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions.
Appl. Math. Comput., 2012

2011
Numerical Blow-up of Semilinear Parabolic PDEs on Unbounded Domains in ℝ2.
J. Sci. Comput., 2011

2010
Computational Solution of Blow-Up Problems for Semilinear Parabolic PDEs on Unbounded Domains.
SIAM J. Sci. Comput., 2010

2008
Artificial boundary method for two-dimensional Burgers' equation.
Comput. Math. Appl., 2008


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